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Mathematics, 28.02.2020 19:05 myaaa13754

Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 540 and standard deviation 119. Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 18.2 and standard deviation 3.6. a. Find the standardized scores (z-scores) for both students.
b. Assuming that both tests measure the same kind of ability, who has the higher score?
c. What score must a student earn to be in the top 10% of the population?
d. Find the probability that the mean score on the ACT math test for a random sample of 100 students, is more than 25.

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